GCD of 342, 723, 760, 779 Calculator

Given Input numbers are 342, 723, 760, 779

In the factoring method, we have to find the divisors of all numbers

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 779 :

The positive integer divisors of 779 that completely divides 779 are.

1, 19, 41, 779

GCD of numbers is the greatest common divisor

So, the GCD (342, 723, 760, 779) = 1.

Given numbers are 342, 723, 760, 779

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 723 are 3 x 241

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 779 are 19 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 342, 723, 760, 779

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(342, 723) = 82422

GCD(342, 723) = ( 342 x 723 ) / 82422

= 342 / 723

= 342

Step2:

LCM(3, 760) = 2280

GCD(3, 760) = ( 3 x 760 ) / 2280

= 3 / 760

= 3

Step3:

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

= 1 / 779

= 1

So, Greatest Common Divisor of 342, 723, 760, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 312, 388, 363
• GCD of 441, 757, 207, 671
• GCD of 314, 216, 135, 311
• GCD of 392, 727, 285, 385
• GCD of 618, 582, 189, 128

Given numbers are 342, 723, 760, 779
The greatest common divisor of numbers 342, 723, 760, 779 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 723, 760, 779 is 1.

1. What is the GCD of 342, 723, 760, 779?

GCD of given numbers 342, 723, 760, 779 is 1

2. How to calculate the greatest common divisor of 342, 723, 760, 779?

We can find the highest common divisor of 342, 723, 760, 779 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 342, 723, 760, 779 i.e 1.

3. How can I use the GCD of 342, 723, 760, 779Calculator?

Out the numbers 342, 723, 760, 779 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.